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#326 2014-01-14 04:28:39

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Probability problem.

Hi;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#327 2014-01-14 04:43:07

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.

Hi,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

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#328 2014-01-14 04:48:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Probability problem.

Hi;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#329 2014-01-14 05:00:46

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#330 2014-01-14 05:05:38

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Probability problem.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#331 2014-01-14 05:16:02

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#332 2014-01-14 05:18:05

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Probability problem.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#333 2014-01-14 05:24:38

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#334 2014-01-14 05:29:38

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Probability problem.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#335 2014-01-14 05:39:11

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#336 2014-01-14 05:41:36

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Probability problem.

Hi;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#337 2014-01-14 05:46:52

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#338 2014-01-14 05:50:37

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Probability problem.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#339 2014-01-14 05:53:21

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#340 2014-01-14 05:57:34

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Probability problem.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#341 2014-01-14 06:03:26

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#342 2014-01-14 06:10:40

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Probability problem.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#343 2014-01-14 06:15:07

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.

Last edited by gAr (2014-01-14 06:20:24)


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#344 2014-01-14 06:21:18

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Probability problem.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#345 2014-01-16 18:07:32

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.

New problem:


i. What is the expected value of the variable c in the following snippet of code?

c=0
a=0
while (a!=0xffffffff)   # loop until all 32 bits in 'a' are 1
    i=random(0,32)      # get a random number between 0 and 31
    a=a|(1<<i)          # set the i'th bit from right in a 32 bit integer 'a'
    c=c+1               # increment c


ii. If 'a' is a n bit integer, what is the expected value of c till all n bits are set?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#346 2014-01-16 20:57:44

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Probability problem.

Hi gAr;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#347 2014-01-16 21:01:01

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.

Hi bobbym,

Okay.


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#348 2014-01-16 21:10:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,882

Re: Probability problem.

Hi;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#349 2014-01-16 21:39:43

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.

Hi bobbym,


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

#350 2014-01-16 23:30:18

gAr
Member
Registered: 2011-01-09
Posts: 3,479

Re: Probability problem.

A modified version of the previous problem:


iii. What is the expected value of the variable c in the following snippet of code?

c=0
a=0
while (a!=0xffffffff)   # loop until all 32 bits in 'a' are 1
    i=random(0,32)      # get a random number between 0 and 31
    a=a^(1<<i)          # toggle the i'th bit from right in a 32 bit integer 'a'
    c=c+1               # increment c


iv. If 'a' is a n bit integer, what is the expected value of c till all n bits are set?


"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense"  - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline

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